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Finding the Third Proportional to 36.91 and 75.66

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Solution

The third proportional to 36.91 and 75.66 is: 155.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.91 : 75.66 = 75.66 : x
  2. Step 2: Convert to fraction form
    36.91/75.66 = 75.66/x
  3. Step 3: Cross multiply
    36.91x = 75.66 × 75.66
  4. Step 4: Simplify right side
    36.91x = 5,723.87
  5. Step 5: Solve for x
    x = 5,723.87/36.91
  6. Step 6: Final answer
    x = 155.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.